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Finding the Third Proportional to 12,439 and 25,310

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Solution

The third proportional to 12,439 and 25,310 is: 51,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439 : 25,310 = 25,310 : x
  2. Step 2: Convert to fraction form
    12,439/25,310 = 25,310/x
  3. Step 3: Cross multiply
    12,439x = 25,310 × 25,310
  4. Step 4: Simplify right side
    12,439x = 640,596,100
  5. Step 5: Solve for x
    x = 640,596,100/12,439
  6. Step 6: Final answer
    x = 51,499.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.